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Finding the Fourth Proportional to 320.98, 443.07 and 202.93

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Solution

The fourth proportional to 320.98, 443.07 and 202.93 is: 280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.98 : 443.07 = 202.93 : x
  2. Step 2: Convert to fraction form
    320.98/443.07 = 202.93/x
  3. Step 3: Cross multiply
    320.98x = 443.07 × 202.93
  4. Step 4: Simplify right side
    320.98x = 89,909.98
  5. Step 5: Solve for x
    x = 89,909.98/320.98
  6. Step 6: Final answer
    x = 280.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.